Question

Line s passes through points (5, 10) and (10, 4). Line t is parallel to line s. What is the slope of line t?

Answer 1

slope of line t = -
`(6)/(5)`

Explanation:

• Parallel lines have equal slopes

calculate the slope of line s, using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

let (x₁, y₁ ) = (5, 10 ) and (x₂, y₂ ) = (10, 4 )

substitute these values into the formula for m

m =
`(4-10)/(10-5)` =
`(-6)/(5)` = -
`(6)/(5)`

Since the lines are parallel, then slope of line t = -
`(6)/(5)`